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49 Cards in this Set

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  • Back

What are the prime numbers to 60

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59

what must be done to add fractions if denominator is different

need to find the least common denominator

how do you multiply fractions

no common denominator required to multiply

how do you divide fractions

multiply the first term with the inversion of the second term

exponents of 1

any number raised to 1 equals itself

exponents of 0

any number raised to 0 is 1

negative exponents

to find the value change the number to a fraction by switching the numerator and denominator and removing the negative sign

negative exponents that are part of a fraction

move the number with the negative sign to the other part of the fraction to eliminate the negative sign and process the equation

Multiplying like numbers with exponents

you add the exponents together then raise the number

Dividing like numbers with exponents

you subtract the exponents then raise the number

Dividing unlike numbers with exponents

you will raise each item first then process the division

Multiplying unlike numbers with exponents

you will raise each item first then process the mulitplication

how do you add and subtract square roots?

all of the square root terms must be the same.

how do you multiply or divide square roots

you can proceed to multiply or divide

how do you handle fractions as exponents

first raise the item to the power of the numerator then take the root of the number by the denominator




Ex: 4^1/2




step 1: 4^1


step 2: square root of 4

what is the definition of mean

the average of a set of numbers

what is the definition of the median

the middle number of a set of values. if there is an odd number take the average of the 2 middle numbers

what is the definition of Mode

the value that occurs the most in a set

what is the average formula

Avg = Sum of set of numbers/ Numbers in set

What do you do if you are multiplying or dividing a negative number in an equality




Ex: -4x > 4

Follow the normal procedure to divide or multiply then flip the sign




ex: -4x > 4


x < -4

how do you multiply binomials

FOIL

how do you factor a trinomial




Ex: x^2 -5x+6

you will have to reverse foil and create the 2 binomials




Ex: (x-2)(x-3)

Distance between two points formula



Midpoint of a line formula



slope of a line formula



equation of a line

Perimeter of a square

4 times the length of 1 side.


P = 4s

Perimeter of a rectangle

sum of twice the width and twice the length




P = 2w + 2l

Circumference of a Circle

if diameter is given then


C = d * pi




if radius is given then


C = 2 * pi * r

Area of a square

A = s^2

Area of a rectangle

A = lw

Area of a parallelogram

A = bh

Area of a trapezoid


Area of triangle

A = 1/2*bh

Area of a circle

A = pi * r^2

Sum of interior angles

= 180(n - 2)

volume of a circle

one of the sides cubed


V = s^3

Volume of a rectangle prism

V = l * w * h

Volume of a sphere


Surface area of cubes and rectangular prisms

A=2(wl+hl+hw)

surface area of a cylinder


Surface area of sphere

SA = 4*pi*r^2

What is the pythagorean theorem

a^2 + b^2 = c^2


Only for right triangles

Right angles

Angles measuring 90 degrees that are formed by the intersection of 2 perpendicular lines

Complimentary angles

Angles that together form a 90 degree angle

Vertical angles

Angles opposite of each other when 2 lines intersect that have equal values

Supplementary angles

Angles next to each other when 2 lines intersect that add up to 180

Corresponding angles

Angles with equal measurements bc they hold the same relative positions along parallel lines and transversal

Same side interior angles

Angles on the same side of a transversal on the interior of 2 parallel lines that together add up to 180